If X is a binomial random variable, for what value

iohanetc

iohanetc

Answered question

2021-10-02

If X is a binomial random variable, for what value of θ is the probability b(x; n, θ ) a maximum?

Answer & Explanation

Aniqa O'Neill

Aniqa O'Neill

Skilled2021-10-03Added 100 answers

Step 1
The value of q is given below:
f(x|θ)=(nx)θx(1θ)nx
logf=logc+xlogθ+(nx)log(1θ)
dlogfdθ=0+xθ(nx)(1θ)
0=xθ(nx)(1θ) [Equate the value of dlogfdθ to 0]
xθ=(nx)(1θ)
x=nθ
θ^=xn
Step 2
For θ=xn, binomial probability b(x; n, θ) is maximum

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?